%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM539+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uSsaYFNZtq true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:47:22 PM UTC 2025
% Result : Theorem 0.56s 0.94s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 28 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 284 ( 44 ~; 39 |; 11 &; 181 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 39 !; 1 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(xT_type,type,
xT: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(m__1802,axiom,
( ( aElementOf0 @ ( szmzizndt0 @ xT ) @ xS )
& ( aElementOf0 @ ( szmzizndt0 @ xS ) @ xT ) ) ).
thf(zip_derived_cl87,plain,
aElementOf0 @ ( szmzizndt0 @ xS ) @ xT,
inference(cnf,[status(esa)],[m__1802]) ).
thf(m__1779,axiom,
( ( xT != slcrc0 )
& ( xS != slcrc0 )
& ( aSubsetOf0 @ xT @ szNzAzT0 )
& ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).
thf(zip_derived_cl84,plain,
aSubsetOf0 @ xT @ szNzAzT0,
inference(cnf,[status(esa)],[m__1779]) ).
thf(mDefMin,axiom,
! [W0: $i] :
( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ( W0 != slcrc0 ) )
=> ! [W1: $i] :
( ( W1
= ( szmzizndt0 @ W0 ) )
<=> ( ( aElementOf0 @ W1 @ W0 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W1 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( szmzizndt0 @ X0 ) )
| ( sdtlseqdt0 @ X1 @ X2 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMin]) ).
thf(mDefEmp,axiom,
! [W0: $i] :
( ( W0 = slcrc0 )
<=> ( ( aSet0 @ W0 )
& ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( X1 != slcrc0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ( sdtlseqdt0 @ X1 @ X2 )
| ( X1
!= ( szmzizndt0 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl5]) ).
thf(zip_derived_cl417,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( szmzizndt0 @ xT ) )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl413]) ).
thf(zip_derived_cl907,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( szmzizndt0 @ xS ) )
| ( X0
!= ( szmzizndt0 @ xT ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl417]) ).
thf(zip_derived_cl918,plain,
sdtlseqdt0 @ ( szmzizndt0 @ xT ) @ ( szmzizndt0 @ xS ),
inference(eq_res,[status(thm)],[zip_derived_cl907]) ).
thf(zip_derived_cl86,plain,
aElementOf0 @ ( szmzizndt0 @ xT ) @ xS,
inference(cnf,[status(esa)],[m__1802]) ).
thf(zip_derived_cl85,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__1779]) ).
thf(mDefSub,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl218,plain,
! [X0: $i] :
( ~ ( aSet0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xS )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl13]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl44,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl222,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xS )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl44]) ).
thf(zip_derived_cl226,plain,
aElementOf0 @ ( szmzizndt0 @ xT ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl222]) ).
thf(mLessASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLessASymm]) ).
thf(zip_derived_cl397,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ ( szmzizndt0 @ xT ) @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ ( szmzizndt0 @ xT ) )
| ( ( szmzizndt0 @ xT )
= X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl59]) ).
thf(zip_derived_cl1213,plain,
( ~ ( aElementOf0 @ ( szmzizndt0 @ xS ) @ szNzAzT0 )
| ( ( szmzizndt0 @ xT )
= ( szmzizndt0 @ xS ) )
| ~ ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ ( szmzizndt0 @ xT ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl918,zip_derived_cl397]) ).
thf(zip_derived_cl85_001,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__1779]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( szmzizndt0 @ X0 ) )
| ( aElementOf0 @ X1 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMin]) ).
thf(zip_derived_cl301,plain,
! [X0: $i] :
( ( xS = slcrc0 )
| ( aElementOf0 @ X0 @ xS )
| ( X0
!= ( szmzizndt0 @ xS ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl77]) ).
thf(zip_derived_cl83,plain,
xS != slcrc0,
inference(cnf,[status(esa)],[m__1779]) ).
thf(zip_derived_cl305,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xS )
| ( X0
!= ( szmzizndt0 @ xS ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl301,zip_derived_cl83]) ).
thf(zip_derived_cl339,plain,
aElementOf0 @ ( szmzizndt0 @ xS ) @ xS,
inference(eq_res,[status(thm)],[zip_derived_cl305]) ).
thf(zip_derived_cl222_002,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xS )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl44]) ).
thf(zip_derived_cl343,plain,
aElementOf0 @ ( szmzizndt0 @ xS ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl222]) ).
thf(zip_derived_cl86_003,plain,
aElementOf0 @ ( szmzizndt0 @ xT ) @ xS,
inference(cnf,[status(esa)],[m__1802]) ).
thf(zip_derived_cl85_004,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__1779]) ).
thf(zip_derived_cl413_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ( sdtlseqdt0 @ X1 @ X2 )
| ( X1
!= ( szmzizndt0 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl5]) ).
thf(zip_derived_cl416,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( szmzizndt0 @ xS ) )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl413]) ).
thf(zip_derived_cl695,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( szmzizndt0 @ xT ) )
| ( X0
!= ( szmzizndt0 @ xS ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl416]) ).
thf(zip_derived_cl826,plain,
sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ ( szmzizndt0 @ xT ),
inference(eq_res,[status(thm)],[zip_derived_cl695]) ).
thf(zip_derived_cl1219,plain,
( ( szmzizndt0 @ xT )
= ( szmzizndt0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1213,zip_derived_cl343,zip_derived_cl826]) ).
thf(m__,conjecture,
( ( szmzizndt0 @ xS )
= ( szmzizndt0 @ xT ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( szmzizndt0 @ xS )
!= ( szmzizndt0 @ xT ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl88,plain,
( ( szmzizndt0 @ xS )
!= ( szmzizndt0 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1220,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1219,zip_derived_cl88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : NUM539+1 : TPTP v9.2.0. Released v4.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uSsaYFNZtq true
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:40:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.94 % Solved by fo/fo5.sh.
% 0.56/0.94 % done 341 iterations in 0.155s
% 0.56/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.94 % SZS output start Refutation
% See solution above
% 0.56/0.94
% 0.56/0.94
% 0.56/0.94 % Terminating...
% 1.59/0.97 % Runner terminated.
% 1.59/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------